Round off the following numbers to the nearest 1000.
a. 9674 b. 3298 c. 7500 d. 4399 e. 5921 f. 1765

Answer

To round off the given numbers to the nearest 1000, we follow these steps:

### Step-by-Step Solution:

1. **Identify the number to round**: Start with the first number, 9674.
- **Hint**: Look at the last three digits of the number to determine how to round.

2. **Look at the hundreds place**: The hundreds digit in 9674 is 6 (from 674).
- **Hint**: If the hundreds digit is 5 or more, you will round up.

3. **Determine whether to round up or down**: Since 6 is greater than 5, we round up.
- **Hint**: If the hundreds digit is less than 5, you round down.

4. **Round the number**: Rounding up 9674 gives us 10000.
- **Hint**: Add 1 to the thousands place and change the rest to zeros.

5. **Repeat for the next number, 3298**:
- The hundreds digit is 2 (from 298), which is less than 5, so we round down.
- This gives us 3000.

6. **Next number, 7500**:
- The hundreds digit is 5 (from 500), which is equal to 5, so we round up.
- This gives us 8000.

7. **Next number, 4399**:
- The hundreds digit is 3 (from 399), which is less than 5, so we round down.
- This gives us 4000.

8. **Next number, 5921**:
- The hundreds digit is 9 (from 921), which is greater than 5, so we round up.
- This gives us 6000.

9. **Last number, 1765**:
- The hundreds digit is 7 (from 765), which is greater than 5, so we round up.
- This gives us 2000.

### Final Answers:
- a. 9674 → 10000
- b. 3298 → 3000
- c. 7500 → 8000
- d. 4399 → 4000
- e. 5921 → 6000
- f. 1765 → 2000